Number of solution cos^(2)[(pi)/(4)(sin...

Number of solution ` cos^(2)[(pi)/(4)(sin x+ sqrt(2) cos^(2)x)]-tan^(2)[x+(pi)/(4)tan^(2)x]=1, x in[-2pi,2pi]` is

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The correct Answer is:

`x = (-pi)/(4) + 2 npi AA n in l`

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